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Matematicheskie Zametki, 2018, Volume 104, Issue 2, Pages 289–300
DOI: https://doi.org/10.4213/mzm11560 (Mi mzm11560) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Invariant Estimates of Two-Dimensional Oscillatory Integrals

A. R. Safarov

A. Navoi Samarkand State University
Full-text PDF (510 kB) Citations (8)
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DOI: https://doi.org/10.4213/mzm11560
Abstract: Invariant estimates of oscillatory integrals with polynomial phase are studied. The main result is a theorem on uniform invariant estimates of trigonometric integrals. The obtained estimates improve Popov's well-known results on invariant estimates of trigonometric integrals in the case where the phase function is a third-degree polynomial.
Keywords: oscillatory integral, phase function, amplitude, discriminant.
Funding agency Grant number
Республика Узбекистан ОФ-4-69
Received: 21.02.2017
Revised: 26.11.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 2, Pages 293–302
DOI: https://doi.org/10.1134/S0001434618070301
Bibliographic databases:
Document Type: Article
UDC: 517.518.5
Language: Russian
Citation: A. R. Safarov, “Invariant Estimates of Two-Dimensional Oscillatory Integrals”, Mat. Zametki, 104:2 (2018), 289–300; Math. Notes, 104:2 (2018), 293–302
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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